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The given problem states:

- The average age of a family of four members is 35.
- Five years later, a child is born in the family.
- We are asked to find the new average age of the family.

### Step-by-Step Solution:

1. **Initial total age of the family (before the child is born):**
   The average age of the four family members is 35, so the total age of the family is:
   \[
   \text{Total Age} = 35 \times 4 = 140 \, \text{years}.
   \]

2. **After five years:**
   Each of the four members grows older by 5 years. Therefore, the total age of the four members becomes:
   \[
   140 + (5 \times 4) = 140 + 20 = 160 \, \text{years}.
   \]
   Now, the family consists of 5 members (including the newborn child), but the newborn child is 0 years old.

3. **New total age of the family:**
   The total age is now 160 years, including the newborn who is 0 years old.

4. **New average age of the family:**
   The new average age is calculated by dividing the total age by the number of family members:
   \[
   \text{New Average Age} = \frac{160}{5} = 32 \, \text{years}.
   \]

Thus, the new average age of the family is **32 years**.

Let me know if you'd like further details or have any questions!

### Relative Questions:
1. What would the new average age be if there were six members instead of five?
2. How would the calculation change if the family had a different initial average age?
3. What if instead of a newborn, the new family member was 10 years old?
4. How does the concept of average change if one family member leaves?
5. What is the impact of a non-zero age for the child on the average?

### Tip:
Always remember that the average of a group increases by the same increment when everyone ages by the same amount over time!

The average age of a family of four members is 35. Five years later a child is born in the family. Find the new average age of the family.

Learn how to calculate the new average age of a family of four members after five years and the birth of a child. This problem involves arithmetic concepts of averages and aging. Suitable for Grades 5-7.

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